Pt \(\Leftrightarrow sin\left(2x-\dfrac{\pi}{4}\right)=-\dfrac{\sqrt{3}}{2}\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-\dfrac{\pi}{4}=-\dfrac{\pi}{3}+k2\pi\\2x-\dfrac{\pi}{4}=\dfrac{4\pi}{3}+k2\pi\end{matrix}\right.\),\(k\in Z\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{\pi}{24}+k\pi\\x=\dfrac{19\pi}{24}+k\pi\end{matrix}\right.\)\(\left(k\in Z\right)\)
Vậy...
Hôm qua họ bảo toi ra lấy CCCD nma toi chưa đi, nay toi đi họ lại đang họp, liệu mai toi đi có bị ăn chửi ko, mn cho ý kiến đi :<
\(2sin\left(2x-\dfrac{\pi}{4}\right)+\sqrt{3}=0\)
\(\Leftrightarrow sin\left(2x-\dfrac{\pi}{4}\right)=-\dfrac{\sqrt{3}}{2}\)
\(\Leftrightarrow sin\left(2x-\dfrac{\pi}{4}\right)=sin\left(-\dfrac{\pi}{3}\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-\dfrac{\pi}{4}=-\dfrac{\pi}{3}+k2\pi\\2x-\dfrac{\pi}{4}=\pi+\dfrac{\pi}{3}+k2\pi\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=-\dfrac{\pi}{12}+k2\pi\\2x=\dfrac{19\pi}{12}+k2\pi\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{\pi}{24}+k\pi\\x=\dfrac{19\pi}{24}+k\pi\end{matrix}\right.\)
